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Finding the Fourth Proportional to 6,512, 9,768.54 and 1,895

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Solution

The fourth proportional to 6,512, 9,768.54 and 1,895 is: 2,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,768.54 = 1,895 : x
  2. Step 2: Convert to fraction form
    6,512/9,768.54 = 1,895/x
  3. Step 3: Cross multiply
    6,512x = 9,768.54 × 1,895
  4. Step 4: Simplify right side
    6,512x = 18,511,383.30
  5. Step 5: Solve for x
    x = 18,511,383.30/6,512
  6. Step 6: Final answer
    x = 2,842.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.